KCET · Physics · Alternating Current
The rms value of current in a \( 50 \mathrm{~Hz} \mathrm{AC} \) circuit is \( 6 \mathrm{~A} \). The average value of \( \mathrm{AC} \) current over a cycle is
- A \( 6 \sqrt{2} \)
- B \( \frac{3}{\Pi \sqrt{2}} \)
- C Zero
- D \( \frac{6}{\Pi \sqrt{2}} \)
Answer & Solution
Correct Answer
(C) Zero
Step-by-step Solution
Detailed explanation
Given, \( \mathrm{rms} \) value of current \( =6 \mathrm{~A} \)
\(\Rightarrow I_{\mathrm{rms}}=\frac{I_{\mathrm{rms}}}{\sqrt{2}}=6 \mathrm{~A}\)
Average current value of ac current over a cycle is zero. Since the average current over a half cycle is \( 0.637 I_{\text {max}} \) and average current over the next half cycle is \( -0.637 I_{\max} \)
Therefore, average current over a complete cycle is zero.
\(\Rightarrow I_{\mathrm{rms}}=\frac{I_{\mathrm{rms}}}{\sqrt{2}}=6 \mathrm{~A}\)
Average current value of ac current over a cycle is zero. Since the average current over a half cycle is \( 0.637 I_{\text {max}} \) and average current over the next half cycle is \( -0.637 I_{\max} \)
Therefore, average current over a complete cycle is zero.
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